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12101021222009 is a prime number
BaseRepresentation
bin1011000000010111110100…
…0100100100010001111001
31120211211211222022220021112
42300011331010210101321
53041230342413101014
641423044333250105
72356161405150446
oct260057504442171
946754758286245
1012101021222009
113946018009135
121435313633935
1369a176959bb5
142db99a5129cd
1515eb96b2e73e
hexb017d124479

12101021222009 has 2 divisors, whose sum is σ = 12101021222010. Its totient is φ = 12101021222008.

The previous prime is 12101021221999. The next prime is 12101021222047. The reversal of 12101021222009 is 90022212010121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12098243932009 + 2777290000 = 3478253^2 + 52700^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101021222009 - 220 = 12101020173433 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101021222089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050510611004 + 6050510611005.

It is an arithmetic number, because the mean of its divisors is an integer number (6050510611005).

Almost surely, 212101021222009 is an apocalyptic number.

It is an amenable number.

12101021222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101021222009 is an equidigital number, since it uses as much as digits as its factorization.

12101021222009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12101021222009 in words is "twelve trillion, one hundred one billion, twenty-one million, two hundred twenty-two thousand, nine".